Teddy Dillard
2021-12-11
Answered

Evaluate the following integrals.

$\int \frac{{e}^{x}}{4{e}^{x}+6}dx$

You can still ask an expert for help

veiga34

Answered 2021-12-12
Author has **32** answers

Step 1

To evaluate:

Solution:

Let substitute

Differentiating both sides,

Step 2

Substituting the values in given integral,

Put back

Hence, required answer is

Mary Herrera

Answered 2021-12-13
Author has **37** answers

We put the expression

Then the original integral can be written as follows:

Calculate the table integral:

Answer:

To write down the final answer, it remains to substitute

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Use the Change of Variables Formula to evaluate the definite integral.

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Solving integral using trig substitution $\mathrm{tan}(x/2)=t$

I have problems with solving the following integral:

$\int \frac{\mathrm{sin}x-\mathrm{cos}x}{\mathrm{sin}x+\mathrm{cos}x}\phantom{\rule{thinmathspace}{0ex}}dx$

Could anybody please help me to find the solution

I have problems with solving the following integral:

$\int \frac{\mathrm{sin}x-\mathrm{cos}x}{\mathrm{sin}x+\mathrm{cos}x}\phantom{\rule{thinmathspace}{0ex}}dx$

Could anybody please help me to find the solution

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${\int}_{1}^{7}\frac{1}{9+{(x+2)}^{2}}dx$

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